The weights for a group of 18-month-old girls are normally distributed with a mean of 24.7 pounds and a standard deviation of 2.8 pounds. Use the given table to find the percentage of 18-month-old girls who weigh more than 29.3 pounds. z-score Percentile z-score Percentile 0.1 0.2 0.3 61.79 1.3 90.32 0.4 0.5 0.6 0.7 0.8 0.9 1.0 53.98 57.93 65.54 69.15 72.57 75.80 78.81 81.59 84.13 1.1 1.2 1.4 1.6 2.0 1.5 93.32 2.5 99.38 1.7 95.54 2.7 99.65 1.8 96.41 2.8 99.74 1.9 86.43 88.49 91.92 94.52 97.13 97.72 2.6 z-score Percentile 2.1 98.21 2.2 2.3 98.93 2.4 99.18 2.9 99.81 3.0 99.87 3.5 99.98 4.0 98.61 99.53 99.997 % of 18-month-old girls in the sample weigh more than 29.3 pounds. (Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The weights for a group of 18-month-old girls are normally distributed with a mean of 24.7 pounds and a standard deviation of 2.8 pounds. Use the given table to find
the percentage of 18-month-old girls who weigh more than 29.3 pounds.
0.1
0.2
0.7
0.8
78.81
0.9
z-score
Percentile
z-score
Percentile
z-score
Percentile
0.3
0.4
0.5
0.6
72.57
1.6
1.0
53.98
57.93
61.79
65.54
69.15
75.80
81.59
84.13
1.1
1.2
1.3
1.4
1.5
93.32
1.8
96.41
1.7
1.9
2.0
88.49
86.43
2.1
90.32
91.92
94.52
95.54
97.13
97.72
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.5
4.0
98.21
98.61
98.93
99.18
99.38
99.53
99.65
99.74
99.81
99.87
99.98
99.997
% of 18-month-old girls in the sample weigh more than 29.3 pounds.
(Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)
Transcribed Image Text:The weights for a group of 18-month-old girls are normally distributed with a mean of 24.7 pounds and a standard deviation of 2.8 pounds. Use the given table to find the percentage of 18-month-old girls who weigh more than 29.3 pounds. 0.1 0.2 0.7 0.8 78.81 0.9 z-score Percentile z-score Percentile z-score Percentile 0.3 0.4 0.5 0.6 72.57 1.6 1.0 53.98 57.93 61.79 65.54 69.15 75.80 81.59 84.13 1.1 1.2 1.3 1.4 1.5 93.32 1.8 96.41 1.7 1.9 2.0 88.49 86.43 2.1 90.32 91.92 94.52 95.54 97.13 97.72 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.5 4.0 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74 99.81 99.87 99.98 99.997 % of 18-month-old girls in the sample weigh more than 29.3 pounds. (Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)
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